TY - GEN

T1 - Analysis of degrees of freedom of wideband random multipath fields observed over time and space windows

AU - Bashar, Farhana

AU - Salehin, S. M.Akramus

AU - Abhayapala, Thushara D.

PY - 2014

Y1 - 2014

N2 - In multipath systems, available degrees of freedom can be considered as a key performance indicator, since the channel capacity grows linearly with the available degrees of freedom. However, a fundamental question arises: given a size limitation on the observable region, what is the intrinsic number of degrees of freedom available in a wideband random multipath wavefield observed over a finite time interval? In this paper, we focus on answering this question by modelling the wavefield as a sum of orthogonal waveforms or spatial orders. We show that for each spatial order, (i) the observable wavefield is band limited within an effective bandwidth rather than the given bandwidth and (ii) the observation time varies from the given observation time. These findings show the strong coupling between space and time as well as space and bandwidth. In effect, for spatially diverse multipath wavefields, the classical degrees of freedom result of time-bandwidth product does not directly extend to time-space-bandwidth product.

AB - In multipath systems, available degrees of freedom can be considered as a key performance indicator, since the channel capacity grows linearly with the available degrees of freedom. However, a fundamental question arises: given a size limitation on the observable region, what is the intrinsic number of degrees of freedom available in a wideband random multipath wavefield observed over a finite time interval? In this paper, we focus on answering this question by modelling the wavefield as a sum of orthogonal waveforms or spatial orders. We show that for each spatial order, (i) the observable wavefield is band limited within an effective bandwidth rather than the given bandwidth and (ii) the observation time varies from the given observation time. These findings show the strong coupling between space and time as well as space and bandwidth. In effect, for spatially diverse multipath wavefields, the classical degrees of freedom result of time-bandwidth product does not directly extend to time-space-bandwidth product.

KW - Random multipath

KW - degrees of freedom

KW - signal to noise ratio

KW - spatial diversity

UR - http://www.scopus.com/inward/record.url?scp=84907381940&partnerID=8YFLogxK

U2 - 10.1109/SSP.2014.6884571

DO - 10.1109/SSP.2014.6884571

M3 - Conference contribution

SN - 9781479949755

T3 - IEEE Workshop on Statistical Signal Processing Proceedings

SP - 45

EP - 48

BT - 2014 IEEE Workshop on Statistical Signal Processing, SSP 2014

PB - IEEE Computer Society

T2 - 2014 IEEE Workshop on Statistical Signal Processing, SSP 2014

Y2 - 29 June 2014 through 2 July 2014

ER -